Galerkin domain decomposition procedures for parabolic equations on rectangular domain

DOI10.1002/FLD.2028zbMath1187.65109OpenAlexW2129865975MaRDI QIDQ3401979

Keying Ma, Tong-jun Sun

Publication date: 2 February 2010

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2028

zbMATH Keywords

stabilityerror estimatesdomain decompositionnumerical experimentsfinite element methodsparabolic equationsparallel computationsintegral mean methodexplicit/implicit Galerkin method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (10)

Parallel Galerkin domain decomposition procedures for wave equation ⋮ Domain decomposition procedures combined with \(H^1\)-Galerkin mixed finite element method for parabolic equation ⋮ A non-overlapping DDM for optimal boundary control problems governed by parabolic equations ⋮ A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation ⋮ Explicit/implicit and Crank-Nicolson domain decomposition methods for parabolic partial differential equations ⋮ Parallel nonoverlapping DDM combined with the characteristic method for incompressible miscible displacements in porous media ⋮ Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation ⋮ Parallel Galerkin domain decomposition procedures based on the streamline diffusion method for convection-diffusion problems ⋮ A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations ⋮ Dynamic parallel Galerkin domain decomposition procedures with grid modification for parabolic equation

Cites Work

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• Schwarz type domain decomposition algorithms for parabolic equations and error estimates
• Additive Schwarz algorithms for parabolic convection-diffusion equations
• Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements
• Numerical Methods for a Model for Compressible Miscible Displacement in Porous Media
• Parallel Galerkin domain decomposition procedures for parabolic equation on general domain
• Parallel Multilevel Preconditioners
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems
• Asymptotic-Induced Domain Decomposition Methods for Kinetic and Drift Diffusion Semiconductor Equations
• Multiplicative Schwarz Methods for Parabolic Problems

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